Which of the following statements is true?
a. any quadratic equation can be solved by completing the square.
b. completing the square always gives two distinct solutions.
c. you can’t complete the square if there is no constant in the equation.
d. you can only use completing the square when the x-term in the equation is even.

 The answer is (A). Any quadratic equation can be solved by completing the square.

Step-by-step explanation: We are given four statements about the process of completing the square in solving a quadratic equation and we are to select the correct ones.

Since we can solve any quadratic equation by completing the square, so statement (A) is correct.

Completing the square may not give two distinct roots, so statement (B) is incorrect.

We can always complete the square, irrespective of the presence of constant term in the equation, so statement (C) is incorrect.

And, since we can always complete the square even if the x-term is odd, so statement (D) is again incorrect.

Thus, the only correct option is (A).

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